On the effect of error correlation on linear inversions

Details On the effect of error correlation on linear inversions On the effect of error correlation on linear inversions

Sep 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002mnras.335..170g&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Volume 335, Issue 1, pp. 170-176.

Astronomy and Astrophysics

Astronomy

7

Sun: Helioseismology, Sun: Oscillations

Scientific paper

We have examined the effect on linear helioseismic inversions of correlations in data errors, taking an example from one-dimensional rotational splitting inversion. Artificial data with correlated errors were generated and then inverted with or without using the proper covariance matrix. The effects of using incorrect covariance matrices, on solutions as well as on trade-offs, are discussed. It is found that improper account of the correlations can be deleterious to the faithfulness of the inversions, and yields incorrect error estimates, which under some circumstances can lead to misleading inferences.

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